{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "/* =====================================================================================\n",
    "\n",
    "CSPlib version 1.1.0\n",
    "Copyright (2021) NTESS\n",
    "https://github.com/sandialabs/csplib\n",
    "\n",
    "Copyright 2021 National Technology & Engineering Solutions of Sandia, LLC (NTESS).\n",
    "Under the terms of Contract DE-NA0003525 with NTESS, the U.S. Government retains\n",
    "certain rights in this software.\n",
    "\n",
    "This file is part of CSPlib. CSPlib is open-source software: you can redistribute it\n",
    "and/or modify it under the terms of BSD 2-Clause License\n",
    "(https://opensource.org/licenses/BSD-2-Clause). A copy of the license is also\n",
    "provided under the main directory\n",
    "\n",
    "Questions? Contact Habib Najm at <hnnajm@sandia.gov>, or\n",
    "           Kyungjoo Kim at <kyukim@sandia.gov>, or\n",
    "           Oscar Diaz-Ibarra at <odiazib@sandia.gov>\n",
    "\n",
    "Sandia National Laboratories, Livermore, CA, USA\n",
    "\n",
    "===================================================================================== */"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'/Users/odiazib/csp_clang_bld_develop/csp/install/release/example/runs/Davis_Skodje'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "os.getcwd() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "firstname=''\n",
    "state = np.loadtxt( firstname +'_state.dat')\n",
    "m     = np.loadtxt( firstname +'_m.dat')\n",
    "tau   = np.loadtxt( firstname +'_tau.dat')\n",
    "f     = np.loadtxt( firstname + '_magMode.dat')\n",
    "rank  =  np.loadtxt( firstname +'_jac_numerical_rank.dat')\n",
    "t     = np.loadtxt( firstname + '_time.dat')\n",
    "Pointers = np.loadtxt(firstname +'_cspPointers.dat')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'z')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(state[:,0],state[:,1] )\n",
    "plt.xlabel('y')\n",
    "plt.ylabel('z')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(t,state[:,0] ,label='y')\n",
    "plt.plot(t,state[:,1] ,label='z')\n",
    "plt.xlabel('Time [s]')\n",
    "plt.ylabel('y/z ')\n",
    "plt.legend(loc='best')\n",
    "plt.xscale('log')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def makePlot(var, var_label='M'):\n",
    "    fig, ax1 = plt.subplots() \n",
    "         \n",
    "    color = 'black'\n",
    "    ax1.set_xlabel('Time [s]')\n",
    "    ax1.set_ylabel('y /z ', color=color) \n",
    "    ax1.plot(t, state[:,0], color='r', label='y')\n",
    "    ax1.plot(t, state[:,1], color='g', label='z')\n",
    "    ax1.tick_params(axis='y', labelcolor=color)\n",
    "    \n",
    "    ax2 = ax1.twinx()  # instantiate a second axes that shares the same x-axis\n",
    "\n",
    "    color = 'tab:blue'\n",
    "    ax2.set_ylabel(var_label,color=color)  # we already handled the x-label with ax1\n",
    "    ax2.plot(t, var,'.',  color=color)\n",
    "    ax2.tick_params(axis='y', labelcolor=color)\n",
    "    fig.tight_layout()\n",
    "    plt.xscale('log')\n",
    "    ax1.legend(loc=2)\n",
    "    return "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots() #figsize=(8,4)\n",
    "         \n",
    "color = 'tab:red'\n",
    "ax1.set_xlabel('y')\n",
    "ax1.set_ylabel('z', color=color) \n",
    "ax1.plot(state[:,0],state[:,1], color=color)\n",
    "ax1.tick_params(axis='y', labelcolor=color)\n",
    "    \n",
    "ax2 = ax1.twinx()  # instantiate a second axes that shares the same x-axis\n",
    "\n",
    "color = 'tab:blue'\n",
    "ax2.set_ylabel('M',color=color)  # we already handled the x-label with ax1\n",
    "ax2.plot(state[:,0], m,'.',  color=color)\n",
    "ax2.tick_params(axis='y', labelcolor=color)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "makePlot(m, var_label='M')\n",
    "plt.savefig('M.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "Nvar = len(tau[0,:])\n",
    "tmp = []\n",
    "tmrank = []\n",
    "for i,M in enumerate(m):\n",
    "    if M == Nvar:\n",
    "        Mi = M -1 \n",
    "    else:\n",
    "        Mi = M\n",
    "    tmp += [tau[i,int(Mi)]] \n",
    "    if rank[i] == Nvar:\n",
    "        tmrank += [tau[i,Nvar-1]]\n",
    "    else:    \n",
    "        tmrank += [tau[i,int(rank[i])]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "makePlot(tmp, var_label='τ[M+1]')\n",
    "plt.yscale('log')\n",
    "plt.savefig('tau.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DuBFnKunTi00eZipprY88Su1JJ+lWUyJSNjwrYk7CTQFXAPcCLnC7k3CfcyPOVW7EOT/T7F5ghxtx/go8BHzbSbg7vMpUyrqbX6e7qYm6D37A7ygiInljrB14maqw1dXV2ba2Nr9jFJyW227jjSt/wNzVcarmzvU7jogUKGNMu7W2zu8cuaI7dpSI1kcepeKII6icM8fvKCIieaNREiXAdnfT/vjjHHL+eRgz2KBQEZHCFG6Mf2sUzdqSsegNg61QT6wEtD/9NH3t7dR/UEPrRaTofBuoByYM8/j7oTZWT6wEtD70MKaigrpT9PthIlJ0bk7GolcN1yDcGB/yGp4GdhQ5ay0vfXwRleHZHLlsmd9xRKTAaWCHFJTupiZ6Xn2VCR/+sN9RRERyKtwYv2ykNipiRW7vgw8CUK8iJiKl5wcjNdA1sSLX+uBDVB99NBWHH+53FBGRMQs3xjcOscoAh420vYpYEUvt3EnHM88w9atf9TuKiMh4HQZ8HGgZsNwAj420sYpYEWt9+P+BtdR/RKcSRaRo/QmoT8aizwxcEW6MPzzSxhqdWMSav/4NOjZu5N0PP6QvOYvIqGh0ohSEvq4uWv/yF+o/fIYKmIiULRWxItX+5JPY9nYmfOQjfkcREcmZcGP88bG01zWxIrX3wQcxtbXUnnyy31FERA4QbozPBb4HTEzGop8aw6bVY3kdFbEiZPv6aP3zA9S///0Eqqr8jiMiJSbcGF8BnAtsT8aix2YtXwT8EggCy5OxaGyofSRj0Sbg8nBj/I5RvN6HMpMGqMuaJxmLrhlu21EVMTfiPAD83Em4q7OWLXMS7tLRbC+51fHMM6TeeosJH/uY31FEpDTdCFwL3NS/INwYDwLXAWcBzcC6cGN8JemC9uMB238hGYtuH8PrZd+ZYwpwKemCZoGDL2LAHOA7bsQ5yUm4/d+gXjCGgJJDe++9D1NRQf2Hz/A7iogUn5AxZn3W/DJr7X43Xk3GomvCjfHwgO0WAlsyPSzCjfHbgMXJWPTHpHtt45aMRfcVsXBj/OlkLPqF0W472iK2CzgTuMaNOKuAS8YWUXLFWsve+++n7rTTCNbX+x1HRIpPylo7nk7IDOC1rPlmYMiL8uHG+BTgh8D8cGP8u5liNxpjGm492iJmnISbAr7qRpxLgUeBSWN5IcmNzs3P0bN1K1O/9jW/o4hIeRmsuAz5ReNkLLoD+PI4Xuc7Y2k82iH21/dPOAn3RtLnK+8bywtJbuy97z4IhZhwpobWi0heNQOzsuZnAltz/SLJWHRMtWVUPTEn4d4wYP4pYNTnLCU3rLXsve8+6hYuJNjQ4HccESkv64B54cb4HOB1YAlw8cHuNDM4ZEjJWPT84dZriH0R6XrhRbpfeYXJl434EzsiIkMJGmOWAaustasGaxBujN8KnAFMDTfGm4HvJ2PR34Qb41cA95IekbgiGYs+l4M8p5K+1nYr8ARjvCameycWkbf+41re/tWvmPfIGkJTp/odR0SKUKHdOzEzdP8s4CLgfUAcuHW0BVJFrIg0nXc+wYkTmf1fN/sdRUSKVKEVsWzhxngV6WL2b8BVyVj0P0baRqcTi0RX08t0vfgih/3TP/kdRUQkpzLFK0q6gIWBa4C7RrOtiliR2LN6NRjDhI/rLh0iUjrCjfHfAccC9wA/SMaim8eyvU4nFgFrLU3nRAkdeiizb/qd33FEpIgZY7pI305qyIEd+RRujPcB/R/q2QXJADYZix4y3PbqiRWBLtel++WXmXzppX5HEZHi12utLZj73iZj0YP6STD9nlgR2B2Pp7/g/LGz/I4iIlJQVMQKnO3rY8/qe6h7/2mEJulOXyJSWsKN8acPpo1OJxa4jg0bSG3bxrT/+02/o4iIeMEJN8Y3DrPeABOHWqkiVuD2xFdjqqqo/8iZfkcREfFCJPN8PjDULah6h9pYoxMLmE2lePH0M6g96SRm/uLf/Y4jIiWgUL/snPkdsRMGLPvPZCz6peG2U0+sgLWtfYLeHTs4JHqO31FEpHSMeO9En0wLN8a/lTU/GTh+pI08LWJuxFkE/JL0zSKXOwk3NkS7TwF/AE5yEu76wdqUoz3xOIH6euo/9CG/o4hI6SioIfZZgkA9me+Hkb5T/oi/GO1ZEXMjThC4jvSNHZuBdW7EWekk3L8OaDcB+AbpuxdLRl9HB3vvvZcJixYRqKryO46IiNfeSMaiV411Iy+H2C8EtjgJt8lJuN3AbcDiQdpdDfwU6PQwS9HZ++c/09fezsRPDHbIRERKzrhuR+RlEZtB+jdi+jVnlu3jRpz5wCwn4f7JwxxFafcf76ZixgxqFyzwO4qIiOeSsegvxrOdl0VssB822zcU0o04AeDfgb8fcUfGLDXGrDfGrE+lUjmMWJh63niDtscfZ+LixZiAvo8uIjIULz8hm4FZWfMzga1Z8xNI37n4YTfiJIFTgJVuxDmg62GtXWatXWCtXRAKlf6Ayt0rV4G1OpUoIjICLyvCOmCeG3HmkB5lsgS4uH+lk3B3A/t+ntiNOA8D/1DuoxOttey++25qTjyRyiOP9DuOiJSeQh1iPy6e9cSchJsCrgDuBVzgdifhPudGnKvciHO+V69b7Do3baK7qUm9MBHxSq+1dmkpFDDQHTsKzhtXXcWuO+9i3qOPEJwwwe84IlJiCvWOHeOlUQMFpK+7m93x1Uz46EdVwERERkFFrIC0PvQwfbt3M/ETn/A7iohIUVARKyC77riD0OGHU3faqX5HEREpCipiBaK7+XXaHn2UhgsuwASDfscRESkKKmIFYvdddwLQcMEnfU4iIlI8VMQKgE2l2HXHndR96INUHHGE33FEpLQFjTHLjDHn+R0kF1TECkDrmkdIbd/OpE9/2u8oIlL6Sup7YipiBWDX7bcTPHQq9aef7ncUEZGioiLms5433qB1zRoaPnkBpqLC7zgiIkVFRcxnu+68E/r6aPjUBX5HEREpOipiPrK9vey6807qTjuNylmzRt5ARET2oyLmo9Y1a0ht3UbDhRrQISIyHipiPmq55b8JTZvGhDPP9DuKiEhRUhHzSdfLL6fv0LHkMxrQISIyTipiPmn571uhooJJF17odxQRkaKlIuaD3tY2dv/xjxyyaBGhqVNH3kBERAalIuaDPatW0tfayuTPXux3FBEpPyV126mQ3wHKjbWWnbfcQvUxx1B93HF+xxGR8tNrrV3qd4hcUU8sz9qfeILuLS8x6bOfxRjjdxwRkaKmIpZnLbfcQrChgUOi5/gdRUSk6KmI5VH3a6+x94EHafj0pwlUVfkdR0Sk6KmI5dHO390EwSCTLvms31FEREqCilie9O7eza677mLiOedQcdhhfscRESkJKmJ50vL727Ht7Uz+wmV+RxERKRkqYnlgu7tpuflm6k47jeqjjvI7johIyVARy4Pd8dWk3nqLyZepFyYikksqYh6z1rLzt7+lat486j7wfr/jiIiUFBUxj7X95TG6XniByZddpi83i4jkmIqYx3auWEHo0EM55Nyo31FEREqOipiHOjZtou2xx5j8+c8RqKz0O46ICOgGwDJab19/A4GJE2lYcpHfUURE+ukGwDKyzhdeoPWBB5h8ySUE6+v8jiMiUpJUxDyyY9l/EqitZfLfXuJ3FBGRkqUi5oHuV15hz+rVNFy0hGBDg99xRERKlqfXxNyIswj4JRAEljsJNzZg/beALwIp4C3gC07CfcXLTPmwY/lyTCjE5M9/3u8oIiIlzbOemBtxgsB1wNnA0cBFbsQ5ekCzDcACJ+G+D7gD+KlXefKlZ9s2dt39PzR86gIqpk3zO46ISEnzsie2ENjiJNwmADfi3AYsBv7a38BJuA9ltV8LFP0FpB0rfgvWMuXyy/2OIiJS8ry8JjYDeC1rvjmzbCiXA/cMtsIYs9QYs94Ysz6VSuUwYm71vPkmu37/eyYuPp+KGcP9UUVEJBe87IkNdo8lO1hDN+JcAiwATh9svbV2GbAMoK6ubtB9FIIdN9yA7etj6le+4ncUEZGy4GURawZmZc3PBLYObORGnI8C3wNOdxJul4d5PNXz+uu0/OEOGi64gMqZM/2OIyJSFrwsYuuAeW7EmQO8DiwBLs5u4Eac+cANwCIn4W73MIvn3r7+egww9cv/x+8oIiJlw7NrYk7CTQFXAPcCLnC7k3CfcyPOVW7EOT/T7N+AeuAPbsR5xo04K73K46XuV19l111/pOEzn6Fi+nS/44iIlA1jbcFeYhpUXV2dbWtr8zvGfrY2fpc999zDu+6/T8PqRaSgGWParbUlcy883bHjIHU1vczulSuZdNFFKmAiInmmInaQ3r72Wkx1NVO+9EW/o4iIlB0VsYPQsfk59qxezeS//VtCU6b4HUdEpOyoiI2TtZbtP/8ZwYYGpnxRd+cQEfGDitg4tT36F9ofX8vUr36F4IQJfscRESlLKmLjYHt72f7zn1MxaxaTlizxO46IyFgEjTHLjDHn+R0kFzz9KZZStXvVKroSCY74+c8wlZV+xxERGYtea+1Sv0PkinpiY9TX1cVb11xD9THHcMjZZ/sdR0SkrKmIjVHLf91Caus2pn37HzABHT4RET/pU3gMUjt38vYNN1D3wQ9Sd8opfscRESl7KmJj8NY119DX1sZh3/lHv6OIiAgqYqPWmUiw6/Y/MOnii6l697v9jiMiIqiIjYq1ljd/9GOChxzCoVd8ze84IiKSoSI2Cnvvu5/2J5/k0L/7BsGJE/2OIyIiGfoplhH0dXbSFD2XQF0dc+66ExPSV+tEpHiV2k+x6BN5BDtvvJGe11/nyBt/qwImIlJgdDpxGD3btvH2DcuYcNZZGlIvIlKAVMSG8eaPfgTWMu073/E7ioiIDEJFbAh7H3qIvff/malf/SqVM2f4HUdERAahgR2D6OvooOnc8zA11cy96y7d5FdESoYGdpSBt399fXowx02/UwETESlgOp04QNeWLexYsYKJn/gEdQsX+h1HRESGoSKWxVrLG1f+gEBdHdP+8dt+xxERkRGoiGXZfdcfaV+/nmnf+hahyZP9jiMiIiNQEcvo2b6dN3/yE2pOOIGGT3/K7zgiIjIKKmJkbvB79dXYzk6m/+u/6scuRUSKhD6tgb333pv+TtjXr6Bq7hy/44iIyCiV/ffEUi0tNEXPpWL6dMK/v033RxSRkqbviZWYN3/0Y3r37OHI365QARMRKTJlfTpx78MPs2fVKqYuXUr1UUf5HUdERMaobE8n9u7aRdP5iwlOPITwnXcS0J05RKQM6HRiiXjjqqtJ7dzJzF//SgVMRKRIleXpxN1/irNn9WoOveJr1BxzjN9xRERknMrudGLPG2/QdP5iqubOZfZ/3azBHCJSVnQ6cQzciLMI+CUQBJY7CTc2YH0VcBNwIrAD+IyTcJNe5bF9fWz7p+9hUymO+ElMBUxExCPhxvgngCgwDbguGYve58XrePYp7kacIHAdcBbQDKxzI85KJ+H+NavZ5UCLk3Df7UacJcBPgM94lanllv+m7bHHOPwHP6By9myvXqZofe43T7Dmxbf3zRugpiLA7Cl1zJpcu1/bqROqOPaIibS0dzOptpKW9m5OmTsFgLVNOw6YPnH2JJ56pWXY+X5DLR9p3VjajKXdwW6Ti2293Fc+910Ir1foOYaTr4zhxvgK4FxgezIWPTZr+X4dk2QsGhtiFyRj0buBu8ON8UnAz4DiKmLAQmCLk3CbANyIcxuwGMguYouBKzPTdwDXuhHHOAk35+c4u5qa2P6zn1F/+uk0XPjpXO++6A0sYAAWaO/pw31jL+4bewfdzmTaGaAiFABrSfVZQsF3pitDAf7l3GO46k/P0Z3qG3T+li+esq+wfXb52gOWA8Ou6zeaNmNpd7Db5GJbL/eVz30XwusVeo7h5DnjjcC1pM+UARBujB/QMQk3xleSLmg/HrD9F5Kx6PbM9D9ntvOElwM7ZgCvZc03Z5YN2sZJuClgNzBl4I6MMUuNMeuNMetTqdS4wnS99BKhKVOY/q9XY4wZ1z5K2ZPJnePazmY996T66Om19NkDp+/ZvI3uVN+Q82ubdgDpnttgy0daN5Y2Y2l3sNvkYlsv95XPfRfC6xV6juHkMGOo//M088+dZBUAAAi0SURBVFg6sEEyFl0DDPxQWAhsScaiTclYtBu4DVicjEU3JWPRcwc8tocb4ybcGP8JcE8yFn16vGFH4mURG6xSDOxhjaYN1tpl1toF1toFoXFexzrkrLN41//eQ+jQQ8e1falbGB7fT8/0/wUGSPfEKoKGoDlw+uxjp1MZCgw533/68ZS5UwZdPtK6sbQZS7uD3SYX23q5r3zuuxBer9BzDCeHGVP9n6eZx7JRbjeajkm2rwMfBT4Vbox/eZxZR+Tl6cRmYFbW/Exg6xBtmt2IEwImcmD1zxmj74MN6abLT/b8mthRh08Ydh7gxNmTuOWLpwx63n+4dWNpM5Z2B7tNLrb1cl/53HchvF6h5xhOAWQcVaejXzIWvQa4xrs4aZ4Nsc8UpReAM4HXgXXAxU7CfS6rzdeA9zoJ98uZgR2fdBLuhcPtN9c3ABYRKSejHWIfboyHgT/1D+wIN8ZPBa5MxqIfz8x/FyAZiw68HpZXnvXEnISbciPOFcC9pC/8rXAS7nNuxLkKWO8k3JXAb4Cb3YizhXQPbIlXeURE5KCsA+aFG+NzSHdMlgAX+xupDL/sLCJSzowxXaRHHa6y1q4arE24MX4rcAYwFXgT+H4yFv1NuDF+DvALMh2TZCz6w/ykHpqKmIhIGSm1O3aU5b0TRUSkNKiIiYhI0VIRExGRoqUiJiJSXoLGmGXGmPP8DpILRTewwxjTB3SMc/MQML77VnmvULMp19gUai4o3GzKNTYHm6vGWlsyHZiiK2IHwxiz3lq7wO8cgynUbMo1NoWaCwo3m3KNTaHm8kvJVGMRESk/KmIiIlK0yq2IjfZuzX4o1GzKNTaFmgsKN5tyjU2h5vJFWV0TExGR0lJuPTERESkhKmIiIlK0SqaIGWMWGWOeN8ZsMcY0DrK+yhjz+8z6J4wx4ax1380sf94Y8/E85/qWMeavxpiNxpgHjDGzs9b1GmOeyTxW5jnXpcaYt7Je/4tZ6z5vjHkx8/h8LnONMtu/Z+V6wRizK2udJ8fMGLPCGLPdGLN5iPXGGHNNJvNGY8wJWeu8Pl4jZftsJtNGY8xjxpjjstYljTGbMsdrfZ5znWGM2Z319/UvWeuGfQ94nOvbWZk2Z95TkzPrvDxes4wxDxljXGPMc8aYvxukjW/vs4JlrS36B+mfBXgJmAtUAs8CRw9o81Xg+sz0EuD3memjM+2rgDmZ/QTzmOvDQG1m+iv9uTLzrT4er0uBawfZdjLQlHmelJmelM9sA9p/HViRh2P2IeAEYPMQ688B7iH967enAE/k43iNMttp/a8JnN2fLTOfBKb6dMzOAP50sO+BXOca0PY84ME8Ha/pwAmZ6Qmkf1R44L9L395nhfoolZ7YQmCLtbbJWtsN3AYsHtBmMfC7zPQdwJnGGJNZfpu1tsta+zKwJbO/vOSy1j5krW3PzK4FZubotQ8q1zA+Dtxvrd1prW0B7gcW+ZjtIuDWHL7+oKy1a0j/cOtQFgM32bS1QIMxZjreH68Rs1lrH8u8NuTvPTaaYzaUg3l/5jpXXt5fANbabdbapzPTewEXmDGgmW/vs0JVKkVsBvBa1nwzB/7l72tjrU0Bu4Epo9zWy1zZLif9v6x+1caY9caYtcaYT+Qo01hyXZA5ZXGHMWbWGLf1OhuZU69zgAezFnt1zEYyVG6vj9dYDXyPWeA+Y8xTxpilPuQ51RjzrDHmHmPMMZllBXHMjDG1pAvBnVmL83K8TPpyx3zgiQGriuV9ljchvwPkiBlk2cDvDgzVZjTbjteo922MuQRYAJyetfhIa+1WY8xc4EFjzCZr7Ut5yrUKuNVa22WM+TLpXuxHRrmt19n6LQHusNb2Zi3z6piNxI/315gYYz5Muoh9IGvx+zPHaxpwvzEmkemp5MPTwGxrbasx5hzgbmAehXPMzgP+Yq3N7rV5fryMMfWkC+c3rbV7Bq4eZJOCep/lW6n0xJqBWVnzM4GtQ7UxxoSAiaRPKYxmWy9zYYz5KPA94HxrbVf/cmvt1sxzE/Aw6f+Z5SWXtXZHVpb/BE4c7bZeZ8uyhAGnejw8ZiMZKrfXx2tUjDHvA5YDi621O/qXZx2v7cAfyd2p9BFZa/dYa1sz06uBCmPMVArkmDH8+8uT42WMqSBdwG6x1t41SJOCfp/5wu+Lcrl4kO5RNpE+tdR/IfiYAW2+xv4DO27PTB/D/gM7msjdwI7R5JpP+iL2vAHLJwFVmempwIvk6OL2KHNNz5r+G2BtZnoy8HIm36TM9OR8/l1m2h1F+iK7yccxy+wzzNCDFKLsf8H9yXwcr1FmO5L0td7TBiyvAyZkTT8GLMpjrsP7//5IF4NXM8dvVO8Br3Jl1vf/J7cuX8cr82e/CfjFMG18fZ8V4sP3ADl8A5xDejTPS8D3MsuuIt27AagG/pD5x/wkMDdr2+9ltnseODvPuf4MvAk8k3mszCw/DdiU+Qe8Cbg8z7l+DDyXef2HgEjWtl/IHMctwGX5/rvMzF8JxAZs59kxI/0/8m1AD+n/9V4OfBn4cma9Aa7LZN4ELMjj8Rop23KgJes9tj6zfG7mWD2b+bv+Xp5zXZH1HltLVpEd7D2Qr1yZNpeSHvCVvZ3Xx+sDpE8Bbsz6uzqnUN5nhfrQbadERKRolco1MRERKUMqYiIiUrRUxEREpGipiImISNFSERMRkaKlIiYiIkVLRUxERIqWiphIDhhjrs7+/SdjzA+NMd/wM5NIOdCXnUVyIHPX8bustScYYwKkb3m10Gbdp1BEcq9U7mIv4itrbdIYs8MYMx84DNigAibiPRUxkdxZTvqee4cDK/yNIlIedDpRJEeMMZWkb8paQfpXCXpH2EREDpJ6YiI5Yq3tNsY8BOxSARPJDxUxkRzJDOg4Bfi031lEyoWG2IvkgDHmaNK/4/SAtfZFv/OIlAtdExMRkaKlnpiIiBQtFTERESlaKmIiIlK0VMRERKRoqYiJiEjR+v/YJ5AaawkbZQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots() #figsize=(8,4)\n",
    "         \n",
    "color = 'tab:red'\n",
    "ax1.set_xlabel('y')\n",
    "ax1.set_ylabel('z', color=color) \n",
    "ax1.plot(state[:,0],state[:,1], color=color)\n",
    "ax1.tick_params(axis='y', labelcolor=color)\n",
    "    \n",
    "ax2 = ax1.twinx()  # instantiate a second axes that shares the same x-axis\n",
    "\n",
    "color = 'tab:blue'\n",
    "ax2.set_ylabel('τ[M+1]',color=color)  # we already handled the x-label with ax1\n",
    "ax2.plot(state[:,0], tmp,'.',  color=color)\n",
    "ax2.tick_params(axis='y', labelcolor=color)\n",
    "fig.tight_layout()\n",
    "plt.yscale('log')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(t,tau, 'k')\n",
    "plt.plot(t,tmp,'ro', label='τ[M+1]')\n",
    "plt.yscale('log')\n",
    "plt.xscale('log')\n",
    "plt.xlabel('Time [s]')\n",
    "plt.ylabel('τ [s]')\n",
    "plt.legend(loc='best')\n",
    "plt.savefig('timescales.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'τ [s]')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(state[:,0],tau, 'k', label='τ')\n",
    "plt.plot(state[:,0],tmp,'ro', label='τ[M+1]')\n",
    "plt.yscale('log')\n",
    "# plt.xscale('log')\n",
    "plt.xlabel('y')\n",
    "plt.ylabel('τ [s]')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "makePlot(f[:,0], var_label='f[0]')\n",
    "plt.savefig('f0.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "makePlot(f[:,1], var_label='f[1]')\n",
    "plt.savefig('f1.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots() #figsize=(8,4)\n",
    "         \n",
    "color = 'tab:red'\n",
    "ax1.set_xlabel('y')\n",
    "ax1.set_ylabel('z', color=color) \n",
    "ax1.plot(state[:,0],state[:,1], color=color)\n",
    "ax1.tick_params(axis='y', labelcolor=color)\n",
    "    \n",
    "ax2 = ax1.twinx()  # instantiate a second axes that shares the same x-axis\n",
    "\n",
    "color = 'tab:blue'\n",
    "ax2.set_ylabel('f[0]',color=color)  # we already handled the x-label with ax1\n",
    "ax2.plot(state[:,0], f[:,0],'.',  color=color)\n",
    "# ax2.plot(state[:,0], f[:,1],'.',  color='g')\n",
    "ax2.tick_params(axis='y', labelcolor=color)\n",
    "fig.tight_layout()\n",
    "\n",
    "# plt.yscale('log')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots() #figsize=(8,4)\n",
    "         \n",
    "color = 'tab:red'\n",
    "ax1.set_xlabel('y')\n",
    "ax1.set_ylabel('z', color=color) \n",
    "ax1.plot(state[:,0],state[:,1], color=color)\n",
    "ax1.tick_params(axis='y', labelcolor=color)\n",
    "    \n",
    "ax2 = ax1.twinx()  # instantiate a second axes that shares the same x-axis\n",
    "\n",
    "color = 'tab:blue'\n",
    "ax2.set_ylabel('f[1]',color=color)  # we already handled the x-label with ax1\n",
    "ax2.plot(state[:,0], f[:,1],'.',  color=color)\n",
    "# ax2.plot(state[:,0], f[:,1],'.',  color='g')\n",
    "ax2.tick_params(axis='y', labelcolor=color)\n",
    "fig.tight_layout()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'f1')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(f[:,0],f[:,1] )\n",
    "plt.xlabel('f0')\n",
    "plt.ylabel('f1')\n",
    "# plt.xscale('log')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11686cb50>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(t,f[:,0], label='f0' )\n",
    "plt.plot(t,f[:,1], label='f1' )\n",
    "plt.xlabel('t')\n",
    "plt.ylabel('f')\n",
    "plt.legend(loc='best')\n",
    "# plt.yscale('log')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "Npoints = len(t)\n",
    "Ptrs = np.reshape(Pointers,[Npoints,Nvar,Nvar])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x115277f90>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "makePlot(Ptrs[:,0,0], var_label='csp pointer Mode 0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "makePlot(Ptrs[:,1,1], var_label='csp pointer Mode 0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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